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JSYML
2010
62views more  JSYML 2010»
15 years 2 months ago
A monotonicity theorem for dp-minimal densely ordered groups
Dp-minimality is a common generalization of weak minimality and weak o-minimality. If T is a weakly o-minimal theory then it is dp-minimal (Fact 2.2), but there are dp-minimal den...
John Goodrick
DCG
2002
81views more  DCG 2002»
15 years 3 months ago
Separoids, Their Categories and a Hadwiger-Type Theorem for Transversals
In this paper we study the topology of transversals to a family of convex sets as a subset of a Grassmanian manifold. This topology seems to be ruled by a combinatorial structure w...
Jorge L. Arocha, Javier Bracho, Luis Montejano, D....
CAS
1999
60views more  CAS 1999»
15 years 3 months ago
Coincidences Are not Accidental: a Theorem
In this paper, we formalize and prove the statement that coincidences cannot be accidental, a statement that underlies many useful heuristics in mathematics and physics. Our proof...
Vladik Kreinovich
162
Voted
JCT
2010
98views more  JCT 2010»
14 years 10 months ago
Lifts of matroid representations over partial fields
There exist several theorems which state that when a matroid is representable over distinct fields 1,..., k, it is also representable over other fields. We prove a theorem, the Li...
Rudi Pendavingh, Stefan H. M. van Zwam
153
Voted
JCT
2010
79views more  JCT 2010»
14 years 10 months ago
Confinement of matroid representations to subsets of partial fields
Let M be a matroid representable over a (partial) field and B a matrix representable over a sub-partial field . We say that B confines M to if, whenever a -representation matrix ...
Rudi Pendavingh, Stefan H. M. van Zwam